1997 AJHSME Problems/Problem 11
Problem
Let mean the number of whole number divisors of . For example, because 3 has two divisors, 1 and 3. Find the value of
Solution
has factors, and has as factors, for a total of factors. Plugging and :
has factors of , so , and the answer is
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 10 |
Followed by Problem 12 | |
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All AJHSME/AMC 8 Problems and Solutions |